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CONICAL CATENARY
Curve studied by Bobillier in 1829. |
The conical catenary is the equilibrium line of an inelastic flexible homogeneous infinitely thin massive wire included in a cone of revolution, placed in a uniform gravitational field.
Differential equation: Case of the vertical cone with vertex O and half-angle a, parametrization based on the polar coordinates |
![]() (but that is not a hyperbola!) |
Differential equation in the case where Parametrization: |
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© Robert FERRÉOL,
Alain ESCULIER 2018